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Finding the Fourth Proportional to 50,792.30, 76,042.65 and 31,109.30

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Solution

The fourth proportional to 50,792.30, 76,042.65 and 31,109.30 is: 46,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,792.30 : 76,042.65 = 31,109.30 : x
  2. Step 2: Convert to fraction form
    50,792.30/76,042.65 = 31,109.30/x
  3. Step 3: Cross multiply
    50,792.30x = 76,042.65 × 31,109.30
  4. Step 4: Simplify right side
    50,792.30x = 2,365,633,611.65
  5. Step 5: Solve for x
    x = 2,365,633,611.65/50,792.30
  6. Step 6: Final answer
    x = 46,574.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.